Une composante du bord des instantons de degré 3

Nicolas Perrin

doi:10.1016/s0764-4442(00)00125-7

Une composante du bord des instantons de degré 3

Translated title of the contribution: A component of the boundary of mathematical instantons of degree 3

Nicolas Perrin

Ecole Normale Superieure

Research output: Contribution to journal › Article › peer-review

Abstract

In their article [1], L. Gruson and M. Skiti have constructed a birational map from the variety I₃ of mathematical instantons of degree 3 to the variety of nets of quadrics in P̌₃. They describe by this way two irreducible components of the boundary of I₃ associated to the divisor of nets which contain a two-plane degenerated quadric and the divisor of Lüroth nets. In this Note we describe an irreducible component of the boundary of I₃ as the exceptional divisor of the blowing-up of the closed set of nets of quadrics of rank 3.

Translated title of the contribution	A component of the boundary of mathematical instantons of degree 3
Original language	French
Pages (from-to)	217-220
Number of pages	4
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	330
Issue number	3
DOIs	https://doi.org/10.1016/s0764-4442(00)00125-7
Publication status	Published - 1 Feb 2000
Externally published	Yes

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title = "Une composante du bord des instantons de degr{\'e} 3",

abstract = "In their article [1], L. Gruson and M. Skiti have constructed a birational map from the variety I3 of mathematical instantons of degree 3 to the variety of nets of quadrics in {\v P}3. They describe by this way two irreducible components of the boundary of I3 associated to the divisor of nets which contain a two-plane degenerated quadric and the divisor of L{\"u}roth nets. In this Note we describe an irreducible component of the boundary of I3 as the exceptional divisor of the blowing-up of the closed set of nets of quadrics of rank 3.",

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Une composante du bord des instantons de degré 3

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